Atkin-Lehner |
2- 5+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60520g |
Isogeny class |
Conductor |
60520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4115360000 = 28 · 54 · 172 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-596,4480] |
[a1,a2,a3,a4,a6] |
Generators |
[6:34:1] |
Generators of the group modulo torsion |
j |
91611713104/16075625 |
j-invariant |
L |
3.9679121282144 |
L(r)(E,1)/r! |
Ω |
1.3226451698626 |
Real period |
R |
0.74999558055711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121040c1 |
Quadratic twists by: -4 |